A=p (1+I/k)^tk
26000=p (1+0.12/2)^(2×8)
Solve for p
P=26,000÷(1+0.12÷2)^(2×8)
P=10,234.80
Answer:
Null Hypothesis years
Alternative hypothesis years
Step-by-step explanation:
Hypothesis is a tentative guess. In a null hypothesis, we state that there's no statistical significance between the variables. For alternative hypothesis, it's stated that there's significant statistical relation between the provided variables. In this case, the null Hypothesis is years and the alternative hypothesis is years
We can decide to accept or reject either null hypothesis or alternative hypothesis
Answer: The kites are at the same height at 15.41s
Step-by-step explanation:
Step 1
Let t represent the time in seconds.
The equation that represents when both small and large kite are at the same height is given as
3.7 + 6.2t =20.65 +5.1t
Step 2----- Solving
3.7 + 6.2t =20.65 +5.1t
Taking like terms and subtracting
6.2t-5.1t = 20.65- 3.7
1.1t =16.95
t = 16.95/1.1
t=15.41s
The kites are at the same height at 15.41s
By using the known relations for similar triangles, we will see that the height of the basketball hoop is H = 113 ft.
<h3>
How to find the height of the basketball hoop?</h3>
In this situation, you and your shadow make a similar triangle to the one that makes the basketball hoop and its shadow.
This would mean that the quotients between the sides must be the same, so:
The <em>quotient between your height and your shadow's length must be the same as the quotient between the hoop's height and its shadow's length.</em>
- Your height is 68 in
- Your shadow is 62 in long.
You are at 41 in from the pole, and your shadow coincides with the shadow of the pole, so the length of the pole's shadow is:
41in + 62in = 103 in
And we define H as the height of the basketball hoop.
So we have that:
H/103in = 68in/62in
H = (68in/62in)*103in = 112.97 in
Rounding to the nearest foot, the height is 113ft.
If you want to learn more about triangles, you can read:
brainly.com/question/14285697